161

Answers
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107
Consequences of the Riemann hypothesis
73
Widely accepted mathematical results that were later shown wrong?
50
Where is number theory used in the rest of mathematics?
49
Demystifying complex numbers
43
What are the advantages of phrasing results in terms of exact sequences and commutative diagrams?
40
Cool problems to impress students with group theory
38
Elementary results with p-adic numbers
36
Interesting results in algebraic geometry accessible to 3rd year undergraduates
33
sum of squares in ring of integers
33
In “splendid isolation”
32
Historical question in analytic number theory (2)
29
What’s the “best” proof of quadratic reciprocity?
29
What is the p-adic valuation of a number?
28
Do you read the masters?
28
Can a conditionally convergent series of vectors be rearranged to give any limit?
28
Why are tensors a generalization of scalars, vectors, and matrices?
27
Why are functional equations important?
27
When does a ring surjection imply a surjection of the group of units?
27
Why certain diophantine equations are interesting (and others are not) ?
26
Most squares in the first half-interval
25
Are there situations when regarding isomorphic objects as identical leads to mistakes?
24
Fields of mathematics that were dormant for a long time until someone revitalized them
24
Why do we care about L^p spaces besides p = 1, p = 2, and p = infinity?
22
Why are modular forms interesting?
22
Basic results with three or more hypotheses
21
Early Two-Author Math Papers
21
How does one motivate the analytic continuation of the Riemann zeta function?
21
Is there a ring of integers except for Z, such that every extension of it is ramified?
21
What is the etymology for the term conductor?
21
Are submodules of free modules free?
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